9825
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16368
- Proper Divisor Sum (Aliquot Sum)
- 6543
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5200
- Möbius Function
- 0
- Radical
- 1965
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(2*n^2 - 3*n + 4)/3.at n=25A037235
- Numbers whose base-5 representation contains exactly three 0's and three 3's.at n=5A045202
- Numbers k such that k^16 == 1 (mod 17^3).at n=31A056088
- Numbers k such that (28*10^(k-1) + 17)/9 is a depression prime.at n=8A082704
- Minimal k > n such that (4k+3n)(4n+3k) is a square.at n=24A083752
- Values of a certain hypergeometric function. Not known to be always integer-valued.at n=3A087661
- Number of chess positions that can be obtained in exactly one way in n plies.at n=4A089957
- a(1)=2. a(n) is the a(n-1)st integer from among those positive integers coprime to a(n-1).at n=18A126882
- a(n) = 289*n - 1.at n=33A158253
- a(n) = 34*n^2 - 1.at n=16A158588
- Number of reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I.at n=13A163876
- Let S be the set of positive integers that, when written in binary, exist as substrings in the binary representation of n. a(n) = number of partitions of n into parts that are all members of S. Each part may occur any number of times in a partition.at n=52A175359
- a(1)=10; a(n) = a(n-1)*10 - 5^(n-2).at n=3A179558
- Number of (n+3) X 8 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=8A188101
- Numbers k such that k^2 - k - 1, k^3 - k - 1, and k^4 - k - 1 are all prime.at n=33A236171
- Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of 1s) is a part.at n=40A241506
- Numbers n such that 36n+11, 36(n+1)+11, 36(n+2)+11 and 36(n+3)+11 are prime.at n=14A255608
- Number of 3-colored integer partitions such that no adjacent parts have the same color.at n=11A262444
- Number of unlabeled, connected graphs on n vertices which have no induced subgraph isomorphic to an R-graph.at n=7A267653
- Numbers k such that (5*10^k - 143)/3 is prime.at n=20A271821